Exploring Geometries of SRF Cavities for a Future Muon Collider

There have been discussions about the possible application of super conducting RF cavities in a future muon collider Such RF cavities are expected to work in the frequency range of about MHz which makes the cavity diameter to be about meters for a typi cal elliptical shape Concerns regarding the vibrations induced by Lorentz force in such cavities directed us to investigate alternative cavity geometries In this write up several RF cavity geometries are compared in an e ort to seek adequate candidates The simulation code MAFIA version was used to obtain key parameters for comparison Di erent cavity geometry has superiority over the others in terms of mechanical rigidity compactness or a lower peak magnetic eld ratio Bpeak Eacc The preliminary results presented here are intended to demonstrate that several options are available to achieve an ideal cavity geometry according to the pre determined design priority These results are yet to be optimized The objective of the study is to nd suitable cavity geometries while keeping the following parameters xed